Question

Prove question help!!!Number 22

Answer 1

Solution,

Given: BGA and AEC are straight lines.

Construction: GF, FE and FD lines are constructed.

Now,

1) BDFG, DFEC, AGFE are cyclic quadrilateral.

2) angle.FDC = angle.BGF [ The external angle of a cyclic quadrilateral is                   equal to opposite internal angle]

3) angle.AGF = angle.FEC [The external angle of a cyclic quadrilateral is                   equal to opposite internal angle]

4) angle.BGF+angle.FEC = 180 [ Sum of two opposite interior angle is 180]

or, angle.FDC+angle.AGF=180

5)AGB is a straight line. [Because  angle.FDC+angle.AGF=180]

It is a Nepali SEE question. Hope it helped you a lot.